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122201102112 = 25312291035743
BaseRepresentation
bin111000111001111000…
…0001101011100100000
3102200102101221011221220
41301303300031130200
54000231440231422
6132045521415040
711554154141505
oct1616360153440
9380371834856
10122201102112
1147909377781
121b824a9a480
13b6a621355b
145cb37cd4ac
1532a333de5c
hex1c73c0d720

122201102112 has 48 divisors (see below), whose sum is σ = 321039210240. Its totient is φ = 40700517632.

The previous prime is 122201102087. The next prime is 122201102129. The reversal of 122201102112 is 211201102221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 122201102091 and 122201102100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399888 + ... + 635855.

It is an arithmetic number, because the mean of its divisors is an integer number (6688316880).

Almost surely, 2122201102112 is an apocalyptic number.

122201102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201102112 is an abundant number, since it is smaller than the sum of its proper divisors (198838108128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122201102112 is a wasteful number, since it uses less digits than its factorization.

122201102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036985 (or 1036977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122201102112 its reverse (211201102221), we get a palindrome (333402204333).

The spelling of 122201102112 in words is "one hundred twenty-two billion, two hundred one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1229 2458 3687 4916 7374 9832 14748 19664 29496 39328 58992 117984 1035743 2071486 3107229 4142972 6214458 8285944 12428916 16571888 24857832 33143776 49715664 99431328 1272928147 2545856294 3818784441 5091712588 7637568882 10183425176 15275137764 20366850352 30550275528 40733700704 61100551056 122201102112